The data set economics in the ggplot$2$ package contains US economic time series data. The variables include date $($Month of data collection$),$ pce $($personal consumption expenditures, in billions of dollars$),$ pop $($total population, in thousands$),$ psavert $($personal savings rate$),$ Guempmed $($median duration of unemployment, in weeks$),$ and unemploy $($number of unemployed in thousands$).$

In R:

Load the ggplot$2$ package: library$($ggplot$2)$

Load the data set economics: data$($economics$)$

Answer the following using the economics data $($round to two$-$digit decimal places$)$:

a$.$ what was the standard deviation of the median duration of unemployment $($uempmed$)$ over the years?

weeks

b$.$ What is the correlation between psavert $($personal savings rate$)$ and